An universal relation between fractal and Euclidean (topological) dimensions of random systems
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Corresponding author: a email@example.com
Accepted: 12 July 1998
Published online: 15 December 1998
It is shown that a dimension-invariant form for fractal dimension D of random systems (where d is Euclidean dimension of the embedding space) is in good agreement with results of numerical simulations performed by different authors for critical (p=pc) and subcritical () percolation, for lattice animals, and for different aggregation processes.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998